Calibrating Students’ Performance in Mathematics: A Rasch Model Analysis

  • Authors

    • Hasni Shamsuddin
    • Nordin Abdul Razak
    • Ahmad Zamri Khairani
    2018-09-01
    https://doi.org/10.14419/ijet.v7i3.20.18991
  • Rasch model, mathematics, 14 years-old, item difficulty, students’ ability

  • Abstract

    Rasch model analysis is an important tools in analysing students’ performance at item level. As such, the purpose of this study is to calibrate 14 years old students’ performance in mathematics test based on the item difficulty parameter. 307 Form 2 students provide responses for this study. A 40-item multiple choice test was developed to gauge the responses. Results show that two of the items need to be dropped since they did not meet the Rasch model’s expectations. Analysis on the remaining items showed that the students were most competent in item related to Directed Numbers (mean = -1.445 logits), while they are least competent in the topic of Circle (mean = 1.065 logits). We also provide calibration of the performance at item level. In addition, we discuss how to the findings might be helpful for teachers in addressing students’ difficulty in the topics.

     

     

  • References

    1. [1] Abu Bakar, Z., M.I. Kamaruddin and M.Y. Tan, 2009. Pengaruh sikap, minat, pengajaran guru dan rakan sebaya terhadap pencapaian matematik pelajar. Project Report. RMC, UTM Johor.

      [2] Ahmad Zamri, K. and S. Hasni (2016). Assessing Item Difï¬culty and Discrimination Indices of Teacher-Developed Multiple-Choice Tests. In S.F. Tang and L. Logonnathan (eds.), Assessment for Learning within and beyond the Classroom, 417-426.

      [3] Ahmad Zamri, K. and A. R. Nordin (2012). Advance in educational measurement: A Rasch model analysis of Mathematics Proficiency Test. Int. J. Soc. Sc. Human., 2:248-251.

      [4] Ahmad Zamri, K. and N. M. Sahari (2011). The development and construct validation of the mathematics proficiency test for 14-year-old students. Asia Pac. J Educ. and Educ., 26:33-50.

      [5] Bond, T. G. and C. M. Fox (2007). Applying the Rasch Model: Fundamental Measurement in the Human Sciences, Lawrence Erlbaum, Mahwah, NJ.

      [6] Boone, W. J. (2016). Rasch model analysis: What, when, and how? CBE Life Sci. Educ., 15:1-7.

      [7] Eakman, A. M. (2012). Measurement characteristics of the engagement in meaningful activities survey in an age-diverse sample. Am J Occup. Ther., 66:20-29.

      [8] Gay,L. R., Mills, G. E, & Airasian, P. (2006). Educational Research (8th ed.). Pearson Prentice Hall, New Jersey.

      [9] Lappan, G., J. T. Fey, W. Fitzgerald, S. N. Friel, and E. D. Phillips (2002). Connected Mathematics Series, Prentice Hall, Glenview, IL:

      [10] Ling, M. (2016). The development and validation of an instrument to measure leadership competency among secondary-school students: A pilot study. TPM-Testing, 23:53-63.

      [11] Martinez, J. G. R. (2002). Building conceptual bridges from arithmetic to algebra. Math. Teach. Middle Sch., 7:326-332.

      [12] Ministry of Education (2012). Laporan strategi mencapai dasar 60:40 aliran sains/teknikal:sastera, Ministry of Education, Putrajaya.

      [13] Curriculum Development Centre (2002). Curriculum Specifications for Mathematics Form 2. Curriculum Development Centre, Putrajaya.

      [14] Wright, B. D. and J. M. Linacre (1994). Reasonable mean-square fit values. Rasch Measurement Transactions, 8:370.

      [15] Wright, B. D. and G. N. Masters (1982). Rating Scale Analysis, MESA Press, Chicago, IL.

      [16] Zahrah, A. K., B. Jamaliah, N. Rohana, M. Badariah, and K. Jaafar (2003). Meningkatkan kemahiran membentuk ungkapan kuadratik. Jurnal Penyelidikan Pendidikan,7:12-1

  • Downloads

  • How to Cite

    Shamsuddin, H., Abdul Razak, N., & Zamri Khairani, A. (2018). Calibrating Students’ Performance in Mathematics: A Rasch Model Analysis. International Journal of Engineering & Technology, 7(3.20), 109-113. https://doi.org/10.14419/ijet.v7i3.20.18991

    Received date: 2018-09-04

    Accepted date: 2018-09-04

    Published date: 2018-09-01